Emergent spacetime and black hole probes from automorphic forms

Abstract

Over the past few years the arithmetic Langlands program has found applications in two quite different problems that arise in string physics. The first of these is concerned with the fundamental problem of deriving the geometry of spacetime from the worldsheet dynamics, leading to a realization of the notion of an emergent spacetime in string theory. The second problem is concerned with the idea of using automorphic black holes as probes of spacetime. In this article both of these applications of the Langlands program are described.